Perturbative quantum gauge theories on manifolds with boundary

DOI10.1007/s00220-017-3031-6zbMath1390.81381arXiv1507.01221OpenAlexW1807973447MaRDI QIDQ2413059

Pavel Mnev, Nicolai Reshetikhin, Alberto Sergio Cattaneo

Publication date: 6 April 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01221

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization in field theory; cohomological methods (81T70) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (40)

Quantum abelian Yang-Mills theory on Riemannian manifolds with boundary ⋮ The ghost fields and the BV extension for finite spectral triples ⋮ BV analysis of Polyakov and Nambu-Goto theories with boundary ⋮ 4-Manifold topology, Donaldson–Witten theory, Floer homology and higher gauge theory methods in the BV-BFV formalism ⋮ Classical BV formalism for group actions ⋮ On globalized traces for the Poisson sigma model ⋮ Notes on Chern–Simons perturbation theory ⋮ Constrained systems, generalized Hamilton-Jacobi actions, and quantization ⋮ Poisson Sigma Model and Semiclassical Quantization of Integrable Systems ⋮ Relational symplectic groupoid quantization for constant Poisson structures ⋮ A physical origin for singular support conditions in geometric Langlands theory ⋮ Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles ⋮ Defects via factorization algebras ⋮ The linear CS/WZW bulk/boundary system in AQFT ⋮ Quantum Chern-Simons theories on cylinders: BV-BFV partition functions ⋮ Shifted geometric quantization ⋮ Homotopy transfer for QFT on non-compact manifolds with boundary: a case study ⋮ Formal global AKSZ gauge observables and generalized Wilson surfaces ⋮ Towards equivariant Yang-Mills theory ⋮ BV equivalence with boundary ⋮ Integration over families of Lagrangian submanifolds in BV formalism ⋮ Loop amplitudes and quantum homotopy algebras ⋮ Ruelle zeta function from field theory ⋮ The geometry of graded cotangent bundles ⋮ Gravitational constraints on a lightlike boundary ⋮ On quantum obstruction spaces and higher codimension gauge theories ⋮ Introduction to the BV-BFV formalism ⋮ Convolution algebras for relational groupoids and reduction ⋮ On the globalization of the Poisson sigma model in the BV-BFV formalism ⋮ On time ⋮ Globalization for perturbative quantization of nonlinear split AKSZ sigma models on manifolds with boundary ⋮ BV-BFV approach to general relativity: Einstein-Hilbert action ⋮ Asymptotic symmetries in the BV-BFV formalism ⋮ General relativity and the AKSZ construction ⋮ Towards holography in the BV-BFV setting ⋮ A cellular topological field theory ⋮ Two-dimensional Yang-Mills theory on surfaces with corners in Batalin-Vilkovisky formalism ⋮ Formal global perturbative quantization of the Rozansky-Witten model in the BV-BFV formalism ⋮ Gluing. I: Integrals and symmetries ⋮ Theta invariants of lens spaces via the BV-BFV formalism

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